Noise, Chaos, and the Verhulst Population Model
thesisposted on 2021-11-15, 18:54 authored by Laurel J. Leonhardt
The history of Verhulst's logistic equation is discussed. Bifurcation diagrams and the importance of the discrete logistic equation in chaos theory are introduced. The results of adding noise to the discrete logistic equation are computed. Surprising linearity is discovered in the relationship between error bounds placed on the period two region and the amount of noise added to the system.
PublisherUniversity of Wyoming. Libraries
CollectionHonors Theses AY 16/17
- Library Sciences - LIBS